Great Country Academician

After the original arxiv forum was restored, the major professional forums in academia have become quiet. Scholars in the mathematics and physics circles have gone to read the papers, leaving only a few kittens on the forum to ask what's going on from time to time. .

But the heated discussion on the Internet has just begun.

It wasn’t just the academics who were talking on the forums, but when the news spread, the internet was buzzing with comments.

【What the hell? Academician Xu has solved another seven millennium problems? 】

【? ? ? ? what's going on? ? ? ? 】

[On arxiv, Chuan Shen published a paper titled "Proof of the Existence and Solution of the Yang-Mills Equation"! 】

【What am I? Did he start again? 】

【Sichuan God is awesome! The senior is awesome! (Crazy shouting!)]

[Calm down, Mr. Sichuan God has already solved two of them. It’s no big deal if one more comes. I believe he has solved all seven millennium problems by himself. 】

[You said that day should not really happen, right? 】

[Who knows, you have to ask Sichuan God whether he will be interested in the remaining four conjectures (funny)]

There are many people discussing this matter on the Internet in China, and there are also many melon-eating people expressing relevant opinions on Twitter and Facebook abroad.

[The paper on the existence and solution of the Yang-Mills equation is incredible. Is he going to solve another millennium-century problem? 】

[This is already the third millennium problem he has started to solve, oh! God, how on earth did he do that? 】

[Perhaps it’s because of the ‘three-year college entrance examination and five-year simulation’? 】

【What it is? 】

[The textbooks used by Chinese people to educate their children. I have recently bought a set of English versions for my son. I hope he can grow up to become a scientist. 】

[Is there a link? I want a set too. 】

[I even suggest that the Clay Mathematics Institute start selecting new seven millennium problems. If this continues, these problems will be solved by Professor Xu in a few years. 】

[One million meters of gold, it would be great if I could also solve one. 】

【.】

It has to be said that some of the discussions on the Internet do reflect reality.

For example, the Clay Institute of Mathematics is discussing issues such as the reselection of the seven millennium problems.

They really didn't expect that such a pervert would appear at the beginning of the 21st century. One person solved nearly three millennium mathematical problems in just six or seven years.

On average, one every two years. This speed is unbelievable.

You must know that this is a millennium problem. It is also called the "century problem", and the corresponding meaning of its name is self-evident.

In fact, when the Clay Mathematics Institute originally selected these difficult problems, it was estimated that it would take the mathematical community the entire twenty-first century to solve them.

As a result, no one expected that in just twenty years at the beginning of the 21st century, several people would have been eliminated.

Including the Poincaré conjecture solved by Perreman, three of the seven millennium problems have now been solved.

Poincare conjecture, Hodge conjecture, NS equation.

If you include the existing Yang-Mills existence and quality gap problems in front of you, that's four.

This means that more than half of the seven Millennium Problems have been solved.

Although the problem of Yang-Mills' existence and quality gap has not been solved yet, even if the paper uploaded by Professor Xu finally passes the review, it will only solve half of the problem.

But it has to be said that for the mathematics community, it is now almost acquiesced that the problems targeted by Professor Xu will be solved quickly.

If we look at the speed at which he solved the Millennium Conjecture in the past, he may not be able to survive the rest of this year even with the remaining half.

To be honest, since the announcement of the seven millennium problems, there have been many challengers.

But since it was announced in 2000, except for 2003, Perleman spent six years solving the three-dimensional Poincaré conjecture and completely proved this problem. There has been almost no progress in the problem.

No matter which conjecture it is, the progress made by the mathematical community in promoting it can be said to be minimal.

However, since Professor Xu came out of nowhere, he has killed two of them in just a few years.

Now, he has set his sights on the 'Yang Mills existence and quality gap problem'.

I have to say that if this continues, the seven millennium problems will really exist in name only.

In addition to discussing whether to supplement the seven millennium problems, another issue that gives the Clay Mathematics Institute a bigger headache is how they should award awards!

As we all know, the reason why the Seven Millennium Problems are famous is that in addition to the fact that these problems are selected by top mathematicians and are top-notch in difficulty, the most eye-catching thing is its huge prize money.

Each question can win a bonus of one million, which should be the highest bonus project in the mathematics world today.

However, from 2000 to now, three of the seven Millennium Problems have been solved, and they have not even given out one million.

In the past, there was a weirdo like Perleman, who was like an ascetic and didn't care about fame and fortune. He didn't even go to receive the Fields Medal.

Later, there was a monster like Xu Chuan who solved two millennium problems in a row. He was not indifferent to fame and fortune, but he was not short of money at all.

One million meters of gold is probably just a drop in the bucket for Professor Xu.

Not to mention other things, the artificial SEI film he created in the field of lithium batteries alone earned him billions of dollars in patent fees.

To him, one million meters of gold is not worth mentioning at all.

So far, three of the seven Millennium Problems have been solved, but the award ceremony prepared by the Clay Mathematics Institute has not been successfully held even once.

At present, the Yang-Mills existence and mass gap problems are also being solved, and the Clay Mathematics Institute is even more anxious.

It can't be that all the seven Millennium Problems have been solved and the bonuses they prepared for this can't be spent, right?

This is too funny.

Or is it true that the legendary curse of "the mathematicians who solved the seven millennium problems all lost interest in money" really affected these mathematicians?

Shet, what on earth should they do to award this award?

Don’t you even need to give money to others?

What's going on with this world!

Hot discussions don’t just happen at the International Mathematical Physics Forum;

Many well-known scholars in mathematics and physics have expressed concern about the "Proof of the Existence and Solution of the Yang-Mills Equation" uploaded by Xu Chuan.

University of California, Los Angeles, California, USA.

Tao Zhexuan quickly took the downloaded and printed paper from his assistant, and his black pupils gradually began to flash with excitement.

For a top mathematician like him, nothing is more exciting than seeing a mathematical puzzle solved.

"Let me see how far you have come in the field of mathematics!"

Pushing up the round-framed glasses on the bridge of his nose, Terence Tao couldn't help but look excited and expectant, clenched his fists, and sat down behind the desk impatiently.

For a mathematical conjecture at the level of the Seven Millennium Problems, whether it is solved is very important to the mathematical community, but from another perspective, this result is not actually that important.

What is really important are the methods used and created in the process of solving this millennium problem, as well as mathematical theories and tools, etc.

Mathematics is completely different from other subjects. It values ​​results, but more importantly, processes.

Results are unique to mathematics, success or failure.

The process, for mathematics, brings infinite possibilities.

Just like the ‘algebraic variety and group mapping tool’ created by Xu Chuan in the process of solving the Hodge conjecture, its use goes far beyond solving the Hodge conjecture.

Xu Chuan's students, Amelia and Gu Bing, used part of this tool to solve Bloch's conjecture.

Therefore, compared with the results, the mathematical community pays more attention to the tools, ideas and methods created in the process of solving this problem.

Behind the desk, Terence Tao's attention was fully attracted after he got the paper.

After quickly skipping the brief description and preface that were very familiar to him, starting from the first line of the text, he could no longer take his eyes away from it.

The smooth calculation process is like the most mysterious truth in the universe. It captures the heart and is full of magic, making people intoxicated and unable to extricate themselves.

In particular, the research on partial differential equations and Albert's symmetry groups in the paper went so far that he found it unbelievable.

More importantly, the invariant coupler with differentiable structure set on the high-dimensional manifold is like a bridge leading to the other shore in the strait, allowing people to reach the other shore directly.

".It's really unbelievable. His research in mathematics is stronger than before!"

It took a full two hours for Tao Zhexuan to read the paper completely, and then he couldn't help but sigh in his heart.

Although this paper did not directly create a new mathematical tool like the "Algebraic Variety and Group Mapping Tool" and "Micro Element Construction Method".

However, the research on many basic mathematical fields such as calculus, partial differential equations, group theory, and manifolds in the paper can be said to be exquisite. Even just a glance will make people involuntarily admire it.

In the corner of the office, after seeing him finally put down the paper in his hand, the student who was studying by himself finally couldn't help but ask:

"Professor, in your opinion, has Professor Xu solved this problem?"

He had naturally read this paper in the past few hours, but with his mathematical ability, it was almost impossible to understand this paper.

After all, this kind of top conjecture in mathematics, let alone proving the paper, is very difficult for ordinary students to fully understand the topic and related meanings.

Because the fields of knowledge involved are often the deepest and most cutting-edge.

Although Yang-Mills's problem of existence and mass gap is indeed not as difficult to understand as other conjectures, it does not mean that he, a doctoral student who has not yet graduated, can understand the proof process.

In fact, in the entire mathematical community, there will be no more than two figures who have the ability to understand this paper in a short period of time.

After hearing this inquiry, the paper held in Terence Tao's hand was finally gently placed on the table.

Glancing at his student, Tao Zhexuan thought for a while before speaking: "For this top-notch conjecture, I am afraid that I cannot make a judgment on such an important paper based on my own opinion."

"but."

After a slight pause, he continued: "If you want to look at it from my personal point of view, then he probably did it."

"At least, I haven't found any obvious flaws in the paper now."

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